Results 131 to 140 of about 8,233 (293)

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

A comparative study on residual power series method and differential transform method through the time-fractional telegraph equation

Nonlinear Engineering
In the present era of cutting-edge technologies powering electronic devices, energy systems, and modern telecommunication, a mathematical model called the telegraph equation plays a major role. It describes the wave propagation and diffusion processes in
Devshali Pratiksha, Singh Prince
doaj   +1 more source

Dual phase lag two temperature fractional thermoelasticity in the context of Green Naghdi type II

Mathematics in Applied Sciences and Engineering
The linear thermoelasticity theory without energy dissipation developed by Green Naghdi has been reconstructed using two-phase lags and two temperature theory in the framework of the fractional time derivative.
Sagar Sankeshwari, Vinayak Kulkarni
doaj   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

N-dimensional Laplace transforms with associated transforms and boundary value problems

, 1988
In this dissertation important theoretical results on n-dimensional Laplace transform, for n ≥ 2, are developed. It starts with a brief review on literature of Laplace transformation.
Debnath, Joyati
core   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Eigenvalue Approach to Three Dimensional Coupled Thermoelasticity in a Rotating Transversely Isotropic Medium

, 2016
[[abstract]]The theory of coupled thermoelasticity in three dimensions is employed to determine the distribution of temperature and stresses in an infinite medium having an instantaneous point heat source at the origin in a rotating medium.
S. Sarkar, N. C. Das, A. Lahiri
core  

Optimal control of fractional systems: a diffusive formulation [PDF]

, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Evaluating Discrete Dynamic Strategies in Affine Models [PDF]

We consider the problem of measuring the performance of a dynamic strategy, rebalanced at a discrete set of dates, whose objective is that of replicating a claim in an incomplete market driven by a general multi-dimensional affine process.
Flavio Angelini, Stefano Herzel
core